Exercise
$\int\left(u^2+3\right)^3du$
Step-by-step Solution
Learn how to solve special products problems step by step online. Find the integral int((u^2+3)^3)du. Rewrite the integrand \left(u^2+3\right)^3 in expanded form. Expand the integral \int\left(u^{6}+9u^{4}+27u^2+27\right)du into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int u^{6}du results in: \frac{u^{7}}{7}. The integral \int9u^{4}du results in: \frac{9}{5}u^{5}.
Find the integral int((u^2+3)^3)du
Final answer to the exercise
$\frac{u^{7}}{7}+\frac{9}{5}u^{5}+9u^{3}+27u+C_0$